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Finding the Fourth Proportional to 355.20, 489.60 and 346.08

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Solution

The fourth proportional to 355.20, 489.60 and 346.08 is: 477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 489.60 = 346.08 : x
  2. Step 2: Convert to fraction form
    355.20/489.60 = 346.08/x
  3. Step 3: Cross multiply
    355.20x = 489.60 × 346.08
  4. Step 4: Simplify right side
    355.20x = 169,440.77
  5. Step 5: Solve for x
    x = 169,440.77/355.20
  6. Step 6: Final answer
    x = 477.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.